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Finding the Fourth Proportional to 774.48, 1,160.34 and 408.45

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Solution

The fourth proportional to 774.48, 1,160.34 and 408.45 is: 611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.48 : 1,160.34 = 408.45 : x
  2. Step 2: Convert to fraction form
    774.48/1,160.34 = 408.45/x
  3. Step 3: Cross multiply
    774.48x = 1,160.34 × 408.45
  4. Step 4: Simplify right side
    774.48x = 473,940.87
  5. Step 5: Solve for x
    x = 473,940.87/774.48
  6. Step 6: Final answer
    x = 611.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.